Non linear relationships between anthropometric and motor-endurance variables

Nonlinear regressions are rare in anthropology. In this paper we have tried to identify the significance and the character of the linear and non-linear relations between some anthropometric measures and the motor-endurance status. All subjects (300 moderately physically active males, mean aged 24 +/- 3.4 years) were measured for body weight, body height, body mass index, push-ups, sit ups, standing high jump, 50 meters swimming, and 1500 meters running. Linear (general model: y = a+bx) and nonlinear regression (general model: y = a+bx+cx2) was calculated simultaneously. According to the presented results the non-linear-square relation between variables can be expected: a) if there is evident cause why two absolutely different sub-groups of subjects should reach equal results in the criterion, b) if a non-linear-square basis for the established relationship can be found. In conclusion, simple linear and non linear regression procedures are to be used for the identification of linear and nonlinear predictors in nonlinear multiple regressions.     

Influence of anthropometric,ball impact and landing location parameters on serve velocity in elite tennis competition

This study aimed (i) to analyse the associations between serve velocity (SV) and anthropometric, ball impact and landing location parameters in total serves (TS) and fastest serves (FS) performed during an ATP Tour event; (ii) to observe differences between first (S1) and second (S2) serves, and (iii) to determine a SV prediction model based on the relationship between the observed variables. Using Foxtenn technology, 30 S1 and 15 S2 were registered in 14 matches in twenty-one male professional tennis players. Ball impact (impact height [IH], impact projection angle [IPA] and relative impact height [RIH]), bounce landing (width and depth) location parameters, S1 and S2 SV in TS (TSV1 and TSV2) and FS (FSV1 and FSV2) alongside anthropometric characteristics of tennis players (body height [BH], body mass [BM] and body mass index [BMI]) were analysed. Significant moderate to large associations were found between BH and BM and TSV1, FSV1 and FSV2 (r = 0.315 to 0.593; p < 0.001), and between IH and IPA and TSV1 and TSV2 (r = 0.294 to -0.409; p < 0.001). BH and BM were the unique significant contributors of FS explaining 22 to 35% of FSV1 and FSV2. Only BM appears in the model to predict FSV1 and FSV2 (r² = 0.48 and 0.21). We concluded that all three anthropometric, ball impact and bounce landing location parameters small to moderately influence TSV. Anthropometric parameters show an impact on SV when tennis players serve at or near maximal speed, highlighting the influence of BM above BH.     

Pathophysiology of hemorrhagic shock. A model for studying the effects of acute blood loss in the rat

A model of acute blood loss in rats with a reproducible mortality rate over a wide range of body weights was developed by withdrawing various amounts of fixed blood volume per 100 g body weight via the left common carotid artery and observing the survival of the animals. Younger (lighter) animals survived the bleeding longer than older (heavier) animals. As early as 70 min following the shock episode there was evidence of acute tubular necrosis in kidney proximal tubules and focal centrilobular necrosis in the liver. The 84%, 50%, or 16% body weight - mortality line was: V84 = -0.17 BW + 3.25; V50 = -0.18 BW + 3.16; or V16 = -0.18 BW + 3.01 in animals ranging from 250 to 400 g body weight (where V = bleeding volume ml/100 g body weight, BW = body weight in grams X 10(-2). To produce the same mortality rate, the bleeding volume per unit body weight decreased with increased body weight. On the other hand, the bleeding volume per total blood volume or per unit body surface area increased with increased body weight. The body weight-mortality line is a useful method to calculate the bleeding volume to produce predetermined mortality rate. This method can be easily applied to various pathophysiological and metabolic studies on the nature of acute blood loss as well as in the treatment of acute blood loss.     

Personal best marathon time and longest training run, not anthropometry, predict performance in recreational 24-hour ultrarunners

In recent studies, a relationship between both low body fat and low thicknesses of selected skinfolds has been demonstrated for running performance of distances from 100 m to the marathon but not in ultramarathon. We investigated the association of anthropometric and training characteristics with race performance in 63 male recreational ultrarunners in a 24-hour run using bi and multivariate analysis. The athletes achieved an average distance of 146.1 (43.1) km. In the bivariate analysis, body mass (r = -0.25), the sum of 9 skinfolds (r = -0.32), the sum of upper body skinfolds (r = -0.34), body fat percentage (r = -0.32), weekly kilometers ran (r = 0.31), longest training session before the 24-hour run (r = 0.56), and personal best marathon time (r = -0.58) were related to race performance. Stepwise multiple regression showed that both the longest training session before the 24-hour run (p = 0.0013) and the personal best marathon time (p = 0.0015) had the best correlation with race performance. Performance in these 24-hour runners may be predicted (r2 = 0.46) by the following equation: Performance in a 24-hour run, km) = 234.7 + 0.481 (longest training session before the 24-hour run, km) - 0.594 (personal best marathon time, minutes). For practical applications, training variables such as volume and intensity were associated with performance but not anthropometric variables. To achieve maximum kilometers in a 24-hour run, recreational ultrarunners should have a personal best marathon time of ～3 hours 20 minutes and complete a long training run of ～60 km before the race, whereas anthropometric characteristics such as low body fat or low skinfold thicknesses showed no association with performance.     

ANTHROPOMETRIC DETERMINANTS OF ROWING ERGOMETER PERFORMANCE IN PHYSICALLY INACTIVE COLLEGIATE FEMALES

The aim of the study was to evaluate anthropometric characteristics as determinants of 500 m rowing ergometer performance in physically inactive collegiate females. In this cross-sectional study, which included 196 collegiate females aged 19-23 years not participating in regular physical activities, body mass (BM), body height (BH), length of upper limbs (LA), length of lower limbs (LL), body mass index (BMI), slenderness index (SI), and the Choszcz-Podstawski index (CPI) were measured and a stepwise multiple regression analysis was performed. Participants performed 500 m maximal effort on a Concept II rowing ergometer. BM, BH, LA, LL, and the BMI, SI and CPI indices were found to be statistically significant determinants of 500 m performance. The best results (T) were achieved by females whose BH ranged from 170 to 180 cm, with LA and LL ranging from 75 to 80 cm and 85 to 90 cm, respectively. The best fitting statistical model was identified as: T = 11.6793 L_R – 0.1130 L_R² – 0.0589 L_N² + 29.2157 CPI² + 0.1370 LR·LN - 2.6926 LR·CPI – 211.7796. This study supports a need for additional studies focusing on understanding the importance of anthropometric differences in rowing ergometer performance, which could lead to establishing a better quality reference for evaluation of cardiorespiratory fitness tested using a rowing ergometer in collegiate females.     

Age variations in anthropometric and body composition characteristics and undernutrition among female Bathudis: a tribal population of Keonjhar District, Orissa, India

A cross-sectional study of 183 female Bathudis, a tribal population of the Keonjhar District, Orissa, India, was undertaken to investigate age variations in anthropometric and body composition characteristics and nutritional status. The subjects were categorized into three age groups: < or =30 years, 31-50 years, >50 years. Height, weight, circumferences and skinfolds data were collected. Body mass index (BMI) and several body composition variables and indices were derived using standard equations. The results revealed that there existed significant negative age variations for most of the anthropometric and body composition variables and indices. Correlation studies of age with these variables and indices revealed significant negative correlations. Linear regression analyses revealed that for all variables, age had a significant negative impact. Studies on the nutritional status of these women revealed that with increasing age, there was an increase in the frequency of undernutrition. In conclusion, this study demonstrated that among Bathudi women, age was significantly negatively related with anthropometric and body composition variables and indices. Moreover, with increasing age, the level of undernutrition increased.     

Prediction of Visceral Adipose Tissue from Simple Anthropometric Measurements in Youths with Obesity

OWENS, SCOTT, MARK LITAKER, JERRY ALLISON, SHARON RIGGS, MICHAEL FERGUSON, AND BERNARD GUTIN. Prediction of visceral adipose tissue from simple anthropometric measurements in youths with obesity. Obes Res. 1999;7:16–22. Objective : Although visceral adipose tissue (VAT) is the component of body composition most highly associated with cardiovascular risk factors, its measurement requires expensive procedures, such as magnetic resonance imaging. This study examined the ability of simple demographic and anthropometric measurements to predict magnetic resonance imaging-derived VAT in 76 apparently healthy, black and white youths with obesity who were 7 years to 16 years of age. Research Methods and Procedures : Stepwise multiple linear regression was used to develop a prediction equation for VAT based on 13 simple anthropometric variables (height, weight, body mass index, triceps skinfold, calf skinfold, sagittal diameter, waist circumference, hip circumference, thigh circumference, waist/hip ratio, waist/thigh ratio, sagittal diameter/thigh ratio, and percent body fat from the sum of calf and triceps skinfolds) and three demographic variables (age, gender and ethnicity). Results : The stepwise multiple regression procedure yielded a final model that included two anthropometric variables (sagittal diameter and waist/hip ratio) and one demographic variable (ethnicity). The prediction equation was: VAT = ?124.06+16.67 (ethnicity)+4.15 (sagittal diameter)-+17.89 (waist/hip ratio), where ethnicity was coded as 0 = black and 1 = white. The model explained 63% of the variance in VAT and was associated with a measurement error of 23.9%. Discussion : Although the model seems to lack sufficient explanatory power for routine use in clinical settings with individual patients, it may have some utility in epidemiological studies given its relatively small (<25%) standard error of estimate.     

Body height and blood pressure regulation in humans during anti-orthostatic tilting

The hypothesis was tested that the cardiovascular changes during an upper body anti-orthostatic maneuver in humans are more pronounced in tall than in short individuals, because of the larger intravascular hydrostatic pressure gradients. In 34 males and 41 females [20-30 yr, body height (BH) = 147-206 cm], inter-individual multiple linear regression analyses adjusted for gender and body weight were conducted between changes in cardiovascular variables versus BH during tilting of the upper body from vertical to horizontal while keeping the legs horizontal. In all the subjects, tilting induced increases in stroke volume and arterial pulse pressure and a decrease in heart rate, which each correlated significantly with BH. In males (n = 51, BH = 163-206 cm), 24-h ambulatory mean arterial pressure increased significantly with BH (P = 0.004, r = 0.40, α = 0.15 mmHg/cm) so that systolic/diastolic blood pressure increased by 2/2 mmHg per 15 cm increase in BH. There was no significant correlation between mean arterial pressure and BH in females (n = 53, BH = 147-193 cm). In conclusion, a larger BH induces larger cardiovascular changes during anti-orthostatic tilting, and in males 24-h ambulatory mean arterial pressure increases with BH. The lack of a mean arterial pressure to BH correlation in females is probably because of their lower BH and greater variability in blood pressure.     

Effects of a 6-week plyometric training program on performances in pubescent swimmers

This study examined in pubescent swimmers the effects on front crawl performances of a 6-week plyometric training (PT) in addition to the habitual swimming program. Swimmers were assigned to a control group (n = 11, age: 14.1 ± 0.2 years; G(CONT)) and a combined swimming and plyometric group (n = 12, age: 14.3 ± 0.2 years; GSP), both groups swimming 5.5 h · wk(-1) during a 6-week preseason training block. In the GSP, PT consisted of long, lateral high and depth jumps before swimming training 2 times per week. Pre and posttests were performed by jump tests (squat jump [SJ], countermovement jump [CMJ]) and swim tests: a gliding task, 400- and 50-m front crawl with a diving start (V400 and V50, m · s(-1)), and 2 tests with a water start without push-off on the wall (25 m in front crawl and 25 m only with kicks). Results showed improvement only for GSP for jump tests (Δ = 4.67 ± 3.49 cm; Δ = 3.24 ± 3.17 cm; for CMJ and SJ, respectively; p < 0.05) and front crawl tests (Δ = 0.04 ± 0.04 m · s(-1); Δ = 0.04 ± 0.05 m · s(-1); for V50 and V400, respectively; p < 0.05). Significant correlations were found for GSP between improvements in SJ and V50 (R = 0.73, p < 0.05). Results suggested a positive effect of PT on specific swimming tasks such as dive or turn but not in kicking propulsion. Because of the practical setup of the PT and the relevancy of successful starts and turns in swimming performances, it is strongly suggested to incorporate PT in pubescent swimmers' training and control it by jump performances.     

Polymorphisms in the 5' regulatory region of myostatin gene are associated with early growth traits in Yorkshire pigs

Myostatin is a negative regulator of skeletal muscle mass. The present study cloned the 5' regulatory region of porcine myostatin gene, screened its polymorphisms and analyzed their associations with early growth traits in Yorkshire pigs. The results indicated that a fragment length polymorphism and a polymorphism concerning two nucleotide changes exist in the 5' regulatory region of porcine myostatin gene. At sites 435 and 447, allele A and allele B have the haplotypes of A-G and G-A, respectively. The allelic frequency of B is 0.475 in Yorkshire pigs. No homozygous BB genotype was detected in 9 Laiwu Black pigs. Allele B was found to have positive effect on body weight on day 21 (BW21) (P＜0.01), body weight on day 28 (BW28) (P＜0.05), body weight on day 70 (BW70) (P＜0.05), average daily gain from birth to 21 d (ADG1) (P＜0.01), average daily gain from birth to 28 d (ADG2) (P＜0.05) and average daily gain from 21 d to 70 d (ADG3) (P＜0.01), respectively. The additive effect of allele B on BW21, BW28, BW70, ADG1, ADG2 and ADG3 was 0.596±0.205 kg (P=0.0041), 0.498±0.200 kg (P=0.0136), 1.409±0.551 kg (P=0.0112), 28.39±9.74 g P=0.0041), 17.78±7.15 g (P=0.0136) and 37.00±16.92 g (P=0.0304), respectively, whereas its effect on average daily gain from 28 d to 70 d (ADG4) was not significant (P＞0.1), although BB individuals are superior in average daily gain to AA and AB.     

Prediction of Percentage Body Fat in Rural Thai Population Using Simple Anthropometric Measurements

Objective: To develop and validate sex‐specific equations for predicting percentage body fat (%BF) in rural Thai population, based on BMI and anthropometric measurements. Research Methods and Procedures: %BF (DXA; GE Lunar Corp., Madison, WI) was measured in 181 men and 255 women who were healthy and between 20 and 84 years old. Anthropometric measures such as weight (kilograms), height (centimeters), BMI (kilograms per meter squared), waist circumference (centimeters), hip circumference (centimeters), thickness at triceps skinfold (millimeters), biceps skinfold (millimeters), subscapular skinfold (millimeters), and suprailiac skinfold (millimeters) were also measured. The sample was randomly divided into a development group (98 men and 125 women) and a validation group (83 men and 130 women). Regression equations of %BF derived from the development group were then evaluated for accuracy in the validation group. Results: The equation for estimating %BF in men was: %BF(men) = 0.42 × subscapular skinfold + 0.62 × BMI ? 0.28 × biceps skinfold + 0.17 × waist circumference ? 18.47, and in women: %BF(women) = 0.42 × hip circumference + 0.17 × suprailiac skinfold + 0.46 × BMI ? 23.75. The coefficient of determination (R²) for both equations was 0.68. Without anthropometric variables, the predictive equation using BMI, age, and sex was: %BF = 1.65 × BMI + 0.06 × age ? 15.3 × sex ? 10.67 (where sex = 1 for men and sex = 0 for women), with R² = 0.83. When these equations were applied to the validation sample, the difference between measured and predicted %BF ranged between ±9%, and the positive predictive values were above 0.9. Discussion: These results suggest that simple, noninvasive, and inexpensive anthropometric variables may provide an accurate estimate of %BF and could potentially aid the diagnosis of obesity in rural Thais.     

Anthropometric and leptin changes in women following different dietary approaches to weight loss

Leptin may favorably respond to fat mass (FM) losses induced by a low-carbohydrate (LC) diet, although this is unclear. We examined serum leptin concentrations in women in midlife undergoing different dietary approaches to body weight (BW) loss. Women followed either a LC, high-protein (LCHP; n = 13) or high-carbohydrate, low-fat (HCLF; n = 12) diet for 12 weeks. Changes in anthropometric and soft-tissue mass measurements and leptin concentrations were assessed. Women in both diet groups had reductions in BW, BMI, fat-free soft-tissue mass, FM, body fat percentage, and central abdominal fat (CAF) (P < 0.001 for all variables) over the 12-week intervention. These changes were not significantly different between diet groups. Serum leptin concentrations decreased by 41.8% (P < 0.001) in the LCHP group and by 44.3% (P < 0.001) in the HCLF group from baseline to week 12, with no significant difference between groups. The association of CAF (r = 0.73) and FM (r = 0.83) change with leptin change was strong in the HCLF group. Leptin change did not relate to change in any variable in the LCHP group. Both LCHP and HCLF diets favorably lower FM, CAF, and leptin in women, suggesting that beneficial changes in leptin can be similarly achieved through different dietary approaches to BW loss.     

Birth weight and subsequent adiposity gain in Swedish children and adolescents: a 6-year follow-up study

We examined whether birth weight (BW) predicts changes in body composition over a 6-year period in Swedish children and adolescents. For this purpose, a total of 247 children (55.5% girls) and 162 adolescents (60.5% girls) were included in the study and were followed up 6 years later. BW was obtained from parental records. We measured weight, height, waist circumference, and the bicep, tricep, subscapular, suprailiac, and medial calf skinfolds, and we calculated BMI, fat-free mass (FFM), and the sum of five skinfolds. Physical activity was assessed by accelerometry. Changes in pubertal status and baseline anthropometric estimates were used as confounders in all analysis. In the children cohort, we observed that BW was inversely associated with changes in BMI (β = -0.736, P = 0.002) and the sum of five skinfolds (β = -6.381, P = 0.009) regardless of confounders and physical activity, only in girls. We did not find any significant association between BW and adiposity gain estimates in the adolescent cohort. These findings give further support to the concept that low BW may have a programming effect of subsequent adiposity gain from childhood to adolescence. We also confirm the sex-related differences in the programming effect of body composition.     

Use of bioelectrical impedance to assess body composition changes at high altitude.

This study determined the feasibility of using bioelectrical impedance analysis (BIA) to assess body composition alterations associated with body weight (BW) loss at high altitude. The BIA method was also evaluated relative to anthropometric assessments. Height, BW, BIA, skinfold (SF, 6 sites), and circumference (CIR, 5 sites) measurements were obtained from 16 males (23-35 yr) before, during, and after 16 days of residence at 3,700-4,300 m. Hydrostatic weighings (HW) were performed pre- and postaltitude. Results of 13 previously derived prediction equations using various combinations of height, BW, age, BIA, SF, or CIR measurements as independent variables to predict fat-free mass (FFM), fat mass (FM), and percent body fat (%Fat) were compared with HW. Mean BW decreased from 84.74 to 78.84 kg (P less than 0.01). As determined by HW, FFM decreased by 2.44 kg (P less than 0.01), FM by 3.46 kg (P less than 0.01), and %Fat by 3.02% (P less than 0.01). The BIA and SF methods overestimated the loss in FFM and underestimated the losses in FM and %Fat (P less than 0.01). Only the equations utilizing the CIR measurements did not differ from HW values for changes in FFM, FM, and %Fat. It was concluded that the BIA and SF methods were not acceptable for assessing body composition changes at altitude.     

Body build classification for ordinary schoolgirls (aged 7-18 years) and volleyball girls (aged 13-16 years)

The article describes two Estonian anthropometric cross-sectional studies of 1549 ordinary schoolgirls (aged 7-18) and 46 girls, who regularly practised volleyball (aged 13-16). Data are presented on 22 basic anthropometric measurements and 6 body composition characteristics (body mass index, mean skinfold, body density, relative mass of fat by Siri, absolute mass and relative mass of subcutaneous adipose tissue). All anthropometric variables were classified into five height-weight SD classes. Schoolgirls were divided into six age groups (7-8, 9-10, 11-12, 13-14, 15-16, 17-18). Volleyballers were observed as one group as their age in SD classes did not differ significantly. The classification consisted of five categories: three height-weight concordant categories: I--small (small height, small weight), II--medium (medium height, medium weight), III large--(big height, big weight) and two height/weight discordant categories: IV--so-called pyknomorphs, V--so-called leptomorphs. To assess the differences between classes the Scheffé-test was used (alpha = 0.05). It proved likewise possible to comparatively systematize length, breadth and depth measurements, circumferences and body composition characteristics in all six age groups (7-18 years) of ordinary schoolgirls and in 13-16-year-old volleyballers as in their case the average age did not differ significantly between the classes.     

Maximal oxygen uptake in Chilean workers of normal nutritional status

Maximum oxygen uptake (VO2max) was measured directly and predicted from cardiac frequency measurements in 54 healthy Chilean industrial workers aged 20 to 55 years, together with assessment of their dietary intake, body composition and blood chemistry. Measurement of VO2 was performed on a motor-driven treadmill. The predicted VO2max was obtained using a cycle ergometer by two methods: 1) the Astrand-Ryhming nomogram and 2) the linear relationship between "steady state" heart rate (HR) and submaximum work, with subsequent extrapolation to "maximum" heart rate. Extrapolation of the HR/load regression line to 170 bpm permitted determination of the physical working capacity at 170 bpm (W170). VO2max for the 20-29 year group (Group I) averaged 3624 ml.min-1 and decreased to 3066 ml.min-1 in the 50-55 year group (Group IV). Lower values were obtained using the Astrand-Ryhming nomogram and HR/load regression (-15% and -9% respectively). W170 was also affected by age (Group I: 190.6 W and Group IV: 158.5 W). No significant correlation were found between VO2max and plasma variables, with the exception of cholesterol (r = 0.59). On the contrary, anthropometric variables showed significant correlations with VO2max, which permitted the prediction of VO2max using multiple regression equations. The two best correlations were: 1. VO2max = 0.800 - 0.0225.(A) +0.0189.(W)+1.26.(H) (r = 0.87; p less than 0.001) 2. VO2max = 0.996 - 0.0176.(A) + 0.025.(W) + 0.838.(H) + 0.0255.(LBM) (r = 0.88; p less than 0.001) where A = years of age; W = body weight in kg; H = height in m and LBM = lean body mass in kg.     

Age variations in anthropometric and body composition characteristics and underweight among male Bathudis--a tribal population of Keonjhar District, Orissa, India

A cross-sectional study of 226 male Bathudis, a tribal population of Keonjhar District, Orissa, India, was undertaken to investigate age variations in anthropometric and body composition characteristics and the frequency of underweight. The subjects were categorized into three age groups: Group I: < 30 years, Group 11: 30-49 years, Group III: 2 50 years. Height, weight, circumferences and skinfolds data were collected. Body mass index (BMI) and several body composition variables and indices were derived using standard equations. Results revealed that there existed significant negative age variations for most of the anthropometric and body composition variables and indices. Correlation studies of age with these variables and indices revealed significant negative correlations. Linear regression analyses revealed that for all these variables, age had a significant negative impact. It was also observed that with increasing age, there was an increase in the frequency of underweight individuals. In conclusion, this study showed that among Bathudi men, age was significantly negatively related with anthropometric and body composition variables and indices. Furthermore, with increasing age, the frequency of underweight individuals increased.     

Polymorphisms of myostatin gene (<Emphasis Type="Italic">MSTN</Emphasis>) in four goat breeds and their effects on Boer goat growth performance

Polymorphisms of myostatin (MSTN) gene were investigated as a candidate marker for goat growth in 687 individuals by gene sequencing and polymerase chain reaction restriction fragment length polymorphism methods. Three potential genotypes (AA, AB and BB) of 5 bp indel (1,256 TTTTA/−) in 5′UTR were detected in four breeds. The polymorphism (CC, CD and DD) of substitution (1,388 T/A) in exon 1 was only segregating in Boer. Genotype AB resulted in significant increases in body weights at birth (BW0), 90 (BW90) and 300 (BW300) days of age, and birth body length compared to BB (P < 0.05). Whilst genotype CD contributed to heavier BW0 and BW90, and larger birth body height (BH) compared to CC (P < 0.05). Individuals either with AB or CD genotype also had greater values in other body sizes, although no significant differences appeared (P > 0.05). When in combination, the combined genotype ABCD displayed positive impacts on better growth traits in BW0, BW90, BW300, BH and BCG (P < 0.05). These results indicate that these markers in myostatin (MSTN) are associated with Boer growth and may be useful for marker assisted selection.     

Multiple linear and nonlinear regression analyses of factors causing calving difficulty

Calving difficulty (CD) was analyzed as the dependent variable from observations on 592 first-calf, 2-year-old heifers that were either Angus X Hereford (AH), Charolais X AH or Simmental X AH. Independent variables were birth weight (BW), pelvic area (PA), BW.(33), PA.(5), cow weight (CW), cow condition score (CS) and sex of calf (S). CD was analyzed as score (1 = no difficulty through 4 = extreme difficulty) CD-I, % CD (1 vs 2 + 3 + 4 , CD-II) or % high CD (1 + 2 vs 3 + 4 , CD-III). R(2) values from CD-II and CD-III multiple correlation (R) analyses were consistently lower (.10 to .13) than from the CD-I analysis. When only BW and PA were included in the model, R(2) values for CD-I were .36, .39 and .39 for the linear, quadratic and cubic analyses, respectively. When BW, PA, CW, CS and S were included in the model, the R(2) values for CD-I were .40 and .42 for the linear and quadratic analyses (cubic effects were not tested). In the linear analysis with BW.(33) and PA.(5), the R(2) for CD-I was .36. In all analyses, the order of importance of the factors studied was BW and PA, with a much lower contribution from CW and S. CS did not account for a significant increase in R(2) in any analysis. CD remained below 50% whenever the PA BW ratio exceeded 8.4. This ratio is a convenient practical method to relate PA and BW to CD. Conclusions are that the linear effects of BW and PA account for the majority of the identified variation in CD (R(2)) and that small increases in R(2) can be obtained by adding CW, CS and S to the model and/or by expanding the model to include quadratic effects.     

Fit of some analytical functions to insulin radio-immunoassay standard curves

Some analytical functions were tested for goodness of fit to standard curves in radio-immunoassays of insulin (Hales & Randle, 1963). Letting a, b and c be parameters, and y the radioactivity measured at an insulin concentration of x, excellent fit was obtained with the function 1/(y+c)=ax+b. This function was associated with a smaller variance around y and a greater number of sign changes for the residuals (calculated radioactivity minus observed radioactivity) than any of the following: 1/y=ax(c)+b; y=ae(bx)+c; y=a+bx+cx(2)+dx(3). The mean number of sign changes of the residuals in 50 separate assays of mouse insulin was within the 95% confidence interval expected for a correct model. The function that was found to be applicable to assays of mouse, human and ox insulins should be useful in routines for computer processing of insulin assay data and may also prove applicable to other radio-immunoassays.